A hereditary property of graphs is any class of graphs closed under isomorphism and subgraphs. Let P 1 , P 2 , . . . , P n be hereditary properties of graphs. We say that a graph G has property P 1 . . , V n such that the subgraph of G induced by V i belongs to P i ; i = 1, 2, . . . , n. A heredita
Unique factorization of compositive hereditary graph properties
✍ Scribed by Izak Broere; Ewa Drgas-Burchardt
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2011
- Tongue
- English
- Weight
- 274 KB
- Volume
- 28
- Category
- Article
- ISSN
- 1439-7617
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## Abstract An Erratum has been published for this article in Journal of Graph Theory 50:261, 2005. A graph property (i.e., a set of graphs) is hereditary (respectively, induced‐hereditary) if it is closed under taking subgraphs (resp., induced‐subgraphs), while the property is additive if it is c
## Abstract The original article to which this Erratum refers was published in Journal of Graph Theory 49:11–27. No Abstract.
## Abstract A graph property is any class of simple graphs, which is closed under isomorphisms. Let __H__ be a given graph on vertices __v__~1~, …, __v__~__n__~. For graph properties 𝒫~1~, …, 𝒫~__n__~, we denote by __H__[𝒫~1~, …, 𝒫~__n__~] the class of those (𝒫~1~, …, 𝒫~__n__~) ‐partitionable grap
Given a property P of graphs, write P n for the set of graphs with vertex set [n] having property P. The growth or speed of a property P can be discussed in terms of the values of |P n |. For properties with |P n | <n n hereditary properties are surprisingly well determined by their speeds. Sharpeni